0

Guest

Courses New

If mn plus one is divisible by 24 . Prove that m plus n is also divisible by 24

If mn plus one is divisible by 24 . Prove that m plus n is also divisible by 24

Grade:9

1 Answers

mycroft holmes
272 Points
8 years ago
mn+1 is divisible by 3 and 8.
 
If mn+1 is divisible by 3, you can easily see that we need m and n to be of the form 3s+1 and 3t-1 or vice versa. So m+n is divisible by 3
 
If mn+1 is divisible by 8, then either m and n are of the form 8s+1 and 8t-1 in some order, or 8s-3,8t+3 . Again m+n is divisible by 8
 
So, m+n is divisible by 3 and 8 and hence by 24

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More